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A recent survey asked 64 CMU students, “In the past year, about how many books did...

A recent survey asked 64 CMU students, “In the past year, about how many books did your read?” The results indicated a mean of 16.8 books with a S.D. of 6,7 books.

  • What is the Margin of Error at a C.L. of 97%?
  • What is the right boundary of the C.I. at a C.L. of 97%?
  • At a 99% C.L., if the researcher wants to limit the error within 1.5 book range, what size of the sample is needed?
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Answer #1

Margin of Error at a C.L. of 97%   is =1.859 (Note :this should be 1.817 with z distribution)

right boundary of the C.I. at a C.L. of 97% =18.659 (Note :this should be 18.617 with z distribution)

size of the sample is needed =(zσ/E)2                                          =133

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